7(3n+2)=8(7n+5)+8

Simple and best practice solution for 7(3n+2)=8(7n+5)+8 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 7(3n+2)=8(7n+5)+8 equation:


Simplifying
7(3n + 2) = 8(7n + 5) + 8

Reorder the terms:
7(2 + 3n) = 8(7n + 5) + 8
(2 * 7 + 3n * 7) = 8(7n + 5) + 8
(14 + 21n) = 8(7n + 5) + 8

Reorder the terms:
14 + 21n = 8(5 + 7n) + 8
14 + 21n = (5 * 8 + 7n * 8) + 8
14 + 21n = (40 + 56n) + 8

Reorder the terms:
14 + 21n = 40 + 8 + 56n

Combine like terms: 40 + 8 = 48
14 + 21n = 48 + 56n

Solving
14 + 21n = 48 + 56n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-56n' to each side of the equation.
14 + 21n + -56n = 48 + 56n + -56n

Combine like terms: 21n + -56n = -35n
14 + -35n = 48 + 56n + -56n

Combine like terms: 56n + -56n = 0
14 + -35n = 48 + 0
14 + -35n = 48

Add '-14' to each side of the equation.
14 + -14 + -35n = 48 + -14

Combine like terms: 14 + -14 = 0
0 + -35n = 48 + -14
-35n = 48 + -14

Combine like terms: 48 + -14 = 34
-35n = 34

Divide each side by '-35'.
n = -0.9714285714

Simplifying
n = -0.9714285714

See similar equations:

| 7x-xy=49 | | (x-4)(x-9)=4x | | -2q^2-4q=-8 | | 5x-14=3y | | 28x+38+7x=319 | | 12(2/3)x+4(1/6)=40+5(1/2)x | | 12x+1=9x^2 | | 5c+3=1.5c-1 | | 3(x-2)=5x-2(x+1) | | 3m-5(m-2)=2m-10 | | (3y+5.2)=(2-5y) | | 10x+8=-8x-3 | | 2n-(9-10n)= | | 7x-(2x+3)=9 | | 3n-3=7n+3 | | 3i-2z=(z+7)i-7 | | 8+9r=-28 | | -40n+3+10=-3(9n+20) | | 2.5=2.05 | | 8-9x= | | 2(2+b)=477 | | -32x^3-4x^2= | | 50=70+(-0.25)x | | -2+3/5(9x-3)=25 | | w+4=-39 | | 16+8y=7x | | -5(y-8)= | | 5a+5(1-u)=u+8 | | 2p=6(5p+7) | | 5y+2(y-2)=4(y+1)-3 | | -14+x^2-6x=0 | | 15(.5)-10=-9(.5)+2 |

Equations solver categories